Respuesta :

the first step to solving this is to write 7x as a difference
x² + 9x - 2x - 18
next you need to factor out x from the expression
x × (x + 9) - 2x - 18
then you'll need to factor out -2 from the expression
x × (x + 9) - 2 (x + 9)
lastly,, you need to factor out x + 9 from the expression
(x + 9) × (x - 2)
this means that the correct answer to your question is (x + 9) × (x - 2).
let me know if you have any further questions
:)
facundo3141592

The factorized form of the quadratic equation is:

y = (x - 2)*(x + 9)

How to factorize a quadratic equation?

For a quadratic function with roots x₁ and x₂, we can write it as:

y = a*(x - x₁)*(x - x₂).

The first thing we need to do, is finding the roots. Remember that for the general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a}[/tex]

So for our equation:

x^2 + 7x - 18 = 0

  • a = 1
  • b = 7
  • c = -18

the solutions are:

[tex]x = \frac{-7\pm \sqrt{7^2 - 4*1*(-18)} }{2*1}\\\\x = \frac{-7 \pm 11}{2}[/tex]

Then the two roots are:

x = (-7 + 11)/2 = 2

x = (-7 - 11)/2 = -9

So we can write the equation as:

y = (x - 2)*(x + 9).

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

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